Optical control device

ABSTRACT

There is provided an optical control device including a plurality of line-defect waveguides provided in a photonic crystal; each line-defect waveguide including a multiplicity of dielectric pillars with a finite height arranged at lattice points of a two-dimensional Bravais lattice. The optical control device comprises: a first line-defect waveguide; a second line-defect waveguide provided with the dielectric pillars having a thickness different from that of the dielectric pillars of the first line-defect waveguide; and a third line-defect waveguide arranged between the first and second line-defect waveguides and provided with the dielectric pillars whose thicknesses are gradually varied from those of the dielectric pillars of the first line-defect waveguide to those of the dielectric pillars of the second line-defect waveguide along a wave guiding direction.

The present application is the National Phase of PCT/JP2008/050192,filed Jan. 10, 2008, which claims priority rights based on the JapanesePatent Application 2007 -002634, filed in Japan on Jan. 10, 2007. Theentire disclosure of this patent application of the earlier filing dateis to be incorporated herein by reference thereto.

TECHNICAL FIELD

This invention relates to an optical control device and, moreparticularly, to an optical control device usable for an optical delayelement for use in an optical integrated circuit.

BACKGROUND ART

Recently, attention is directed to application of a photonic crystal toan optical integrated circuit. For example, a device for changing a spotsize of light guided by a light waveguide is disclosed in PatentDocument 1, while an optical control device that has a dispersioncontrolling effect is disclosed in Patent Document 2.

Patent Document 1: JP Patent Kokai JP-A-2003-240985

Patent Document 2: JP Patent Kokai JP-A-2005-274844

The disclosures of the Patent Documents 1 and 2 are to be incorporatedherein by reference thereto. The following is an analysis on the relatedart according to the present invention. Nowadays, there is raised ademand for a technique for implementing an integrated circuit of opticalcomponents, such as a transistor integrated circuit. In the currentstate of the art, an optical fiber, as a waveguide, and a variety ofoptical components, such as a light switch, a wavelength filter or a 3dB coupler, as individual optical components, are interconnected to forman optical circuit. If these optical components could be integrated on asmall chip, it would be possible to reduce the circuit volume, powerconsumption and the manufacturing cost significantly.

A large variety of techniques for implementing optical integratedcircuits have so far been developed. In particular, photonic crystalsare stirring up notice as being a technique having a potentialcapability of reducing the size and the power consumption per unitperformance of an optical device fabricated on a substrate to onehundredth or even to one ten-thousandth.

In a broad sense of the term, a photonic crystal is a generic name ofstructures the refractive index of which is caused to vary periodically.Although photonic crystals are used in general for an electromagneticwave, they are so named because they were inherently devised for opticaluse and also because they were endowed with a periodic structure likethat of a crystal.

The photonic crystals exhibit a wide variety of optical features, basedon the periodicity of their refractive index. Their most representativefeature is the photonic band gap (PBG). As periodic changes in therefractive index of a photonic crystal are increased, the light of aparticular frequency band (or a wavelength band) ceases to be able to bepropagated through the photonic crystal. If the light frequency and thewave number (, or the amplitude of wave vector in a certain direction)of light are assigned to the ordinate and abscissa axes, respectively,and the relationship between the frequency and the wave number of lightpropagated through the photonic crystal is plotted, we obtain a diagramtermed a dispersion relationship diagram or a photonic band diagram. Inthis photonic band diagram, the frequency range in which plots arepresent in succession and distributed as a curve is termed a band. Thelight that cannot be propagated through the photonic crystal has afrequency that is located intermediate between neighboring bands, thatis, in a gap between the neighboring bands. The forbidden band, throughwhich light cannot be propagated, is termed a photonic band gap (PBG).

If there is a defect in the photonic crystal that might disturbperiodicity of the refractive index distribution of the photoniccrystal, the light at a frequency falling within the PBG is confined inthe vicinity of the defect. In this case, only the light at a particularfrequency corresponding to the size of the defect can be confined, withthe photonic crystal functioning as an optical resonator. Hence, thephotonic crystal may be used as a frequency filter or a wavelengthfilter.

If miniscule defects are arrayed within the photonic crystal insuccession in a row to form a line defect, even the light having thefrequency within the PBG can be propagated along the defect, while thelight is confined in the vicinity of the line defect. It may thus beseen that the line defect of the photonic crystal plays the role of awaveguide. This waveguide may be called a line-defect waveguide.

If a filter and a waveguide can be implemented, a light modulator or alight switch may be constructed by solely the waveguide or by thewaveguide and the filter in combination.

It is thus possible to arrange principal optical functional componentsin a photonic crystal and to interconnect the components to construct anoptical circuit. Hence, the photonic crystal is expected to be used as aplatform for the optical integrated circuit.

From the perspective of manufacture, a photonic crystal desirably has atwo-dimensional periodicity. If it is attempted to utilize the effect ofthe PBG, such as light confining effect, the photonic crystal must havethree-dimensional periodicity in three perpendicular directions of x, yand z. However, fabrication process for a three-dimensional periodicstructure is complex and hence is expensive in manufacture. For thisreason, a two-dimensional photonic crystal, having a two-dimensionalperiodicity in a substrate surface and having a finite size along thedirection perpendicular to the substrate surface, that is, along thedirection of substrate thickness, is often used. In such case, lightconfinement along its thickness in a line-defect waveguide or in a pointdefect resonator is secured not by the PGG effect, but rather by totalinternal reflection caused by difference in the refractive index.

Strictly speaking, the optical characteristic of the two-dimensionalphotonic crystal having a finite thickness is not perfectly coincidentwith that of a two-dimensional photonic crystal having an infinitethickness, that is, a crystal that is uniform along its thickness.However, if the refractive index distribution along the direction ofthickness of the two-dimensional photonic crystal having a finitethickness exhibits mirror symmetry (, or reflection symmetry) within astructural region where light is propagated, the optical characteristicof the two-dimensional photonic crystal having the finite thickness isroughly coincident with that of the two-dimensional photonic crystalhaving an infinite thickness. Prediction of the operation of a device ofa photonic crystal with infinite thickness, that is, a device of thetwo-dimensional photonic crystal uniform along its thickness, is easierthan that for which a finite thickness is taken into account. Hence,device implementation may be facilitated by exploiting thetwo-dimensional photonic crystal having refractive index distributionwith the mirror symmetry.

Among a number of examples of a concrete structure of thetwo-dimensional photonic crystal having a finite thickness, thus farimplemented, there are a hole-type photonic crystal and a pillar-typephotonic crystal. In particular, a line-defect waveguide in the lattertype crystal, that is, the pillar-type photonic crystal, is superiorinter alia in the wave guiding characteristic.

FIG. 1 depicts a perspective view of a typical structure of apillar-type photonic crystal with a finite thickness. Referring to FIG.1, a multiplicity of pillars 2 with a finite height, made of adielectric material, is arrayed in a square lattice pattern in abackground medium 1. The dielectric material of the pillars has adielectric constant higher than that of the background medium. By theway, the hole-type photonic crystal has a structure such as, in thestructure shown in FIG. 1, the background medium 1 is made of a highdielectric constant material and the pillars 2 (columnar-shapedstructures) are made of a low dielectric constant material. In acolumnar-type square-lattice photonic crystal with a finite thickness, aline-defect waveguide can be formed by providing a row of dielectricpillars 3 as a line defect, a diameter of the pillars in the row, forexample, being smaller than that of the pillars that make up otherwiseperfect original crystal. In this case, the row of the columns of theline defect, is equivalent to a core in a waveguide that confines lightby total internal reflection, such as an optical fiber, while thelattice(s) formed by pillars, disposed on each side of the row ofpillars of the line defect, is(are) equivalent to a cladding.

In general, dielectric pillars in a photonic crystal are not limited to(circular) columns, and can be in any shape. It should be noted that agiven dielectric pillar being ‘thicker’ or ‘thinner’ than other pillarsmeans that the pillar in question is respectively larger or smaller incross-sectional area than the others. In the present specification, the‘dielectric pillar’ is defined as a pillar that has a dielectricconstant, and encompasses air or vacuum, too.

The line-defect waveguide features a small group velocity and hence maybe used as an optical delay element. In addition, the group velocitybeing small increases time of interaction between the guided light andthe crystal material, as a result of which the effect of the interactioncan be enhanced to a sufficient degree even if the waveguide is short.In other words, the effect of interaction per unit length is increased.Thus, with the line-defect waveguide, non-linear effects can efficientlybe derived.

As for the line-defect waveguide of the pillar-type square-latticephotonic crystal, the group velocity of the guided light can be as smallas one-twentieth to one-hundredth the speed of light in vacuum, as anexample. Thus, even a short waveguide, can provide long delay time andhence a strong interaction with the material.

However, with this kind of waveguide that gives small group velocity oflight, it is often experienced that the group velocity of the guidedlight is varied according to the light wavelength. Suchwavelength-dependent variation in the group velocity is termed the‘group velocity dispersion’. The line-defect waveguide of the columnarsquare-lattice photonic crystal does exhibit the group velocitydispersion. Thus, if line-defect waveguide of the columnarsquare-lattice photonic crystal guides an optical signal spanning anon-negligible range of wavelength, such as ultra-high speed opticalsignal, a problem may be that the signal waveform becomes collapsed (ordeformed) after passing through the waveguide.

Patent Document 2 discloses an optical control device that compensatesfor the group velocity dispersion. However, the optical control devicedisclosed therein is provided with a structure formed by directlyinterconnecting a plurality of photonic crystals having different valuesof group velocity dispersion, raising a problem that a loss due toreflection at a connection interface may be produced.

It is therefore an object of the present invention to provide an opticaldelay element making use of a line-defect waveguide of a square-latticephotonic crystal in which, by reducing the effect of the group velocitydispersion, long delay time and the low group velocity dispersion arerendered compatible to each other to allow for coping with an ultra highspeed signal. The square-lattice photonic crystal may also be a photoniccrystal of an arbitrary two-dimensional Bravais lattice.

It is another object of the present invention to reduce the size of theoptical delay element to improve the integration degree of the opticalintegrated circuit.

It is a further object of the present invention to reduce the effect ofreflection in compensating for the group velocity dispersion.

In a first aspect of the present invention, there is provided an opticalcontrol device including a plurality of line-defect waveguides providedin a photonic crystal, in which each line-defect waveguide includes amultiplicity of dielectric pillars with a finite height arranged atlattice points of a two-dimensional Bravais lattice. The optical controldevice comprises: a first line-defect waveguide; a second line-defectwaveguide provided with the dielectric pillars having a thickness(cross-sectional area) different from that of the dielectric pillars ofthe first line-defect waveguide; and a third line-defect waveguide. Thethird line-defect waveguide is arranged between the first and secondline-defect waveguides and provided with the dielectric pillars whosecross sectional areas are gradually varied from those of the dielectricpillars of the first line-defect waveguide to those of the dielectricpillars of the second line-defect waveguide along a wave guidingdirection.

In a second aspect of the present invention, there is provided anoptical control device including a plurality of line-defect waveguidesprovided in a photonic crystal, in which each line-defect waveguideincludes a multiplicity of dielectric pillars with a finite heightarranged at lattice points of a two-dimensional Bravais lattice. Theoptical control device comprises: a first line-defect waveguide; asecond line-defect waveguide provided with dielectric pillars havingcross-sectional shapes different from those of the dielectric pillars ofthe first line-defect waveguide; and a third line-defect waveguide. Thethird line-defect waveguide is arranged between the first and secondline-defect waveguides and provided with the dielectric pillars whosecross-sectional shapes are gradually varied from those of the dielectricpillars of the first line-defect waveguide to those of the dielectricpillars of the second line-defect waveguide in the course from the firstline-defect waveguide towards the second line-defect waveguide along thewave guiding direction.

In a third aspect of the present invention, there is provided an opticalcontrol device including a plurality of line-defect waveguides providedin a photonic crystal, in which each line-defect waveguide including amultiplicity of dielectric pillars with a finite height arranged atlattice points of a two-dimensional Bravais lattice. The optical controldevice comprises: a first line-defect waveguide; a second line-defectwaveguide provided with the dielectric pillars that have lattice-pointintervals (that is, local lattice constants) different from those of thedielectric pillars of the first line-defect waveguide; and a thirdline-defect waveguide. The third line-defect waveguide is arrangedbetween the first and second line-defect waveguides and provided withdielectric pillars whose lattice-point intervals are gradually variedfrom those of the dielectric pillars of the first line-defect waveguideto those of the dielectric pillars of the second line-defect waveguidein the course from the first line-defect waveguide towards the secondline-defect waveguide, along the wave guiding direction.

In a first formulation of the optical control device according to thefirst aspect, a further line-defect waveguide, whose dielectric pillarshave cross-sectional areas gradually varied along the wave guidingdirection, is provided at one end or at each of both ends along the waveguiding direction of the optical control device including the first tothird line-defect waveguides.

In a second formulation of the optical control device according to thefirst aspect, the length along the wave guiding direction of the thirdline-defect waveguide is not less than five times a lattice pitch(lattice constant).

In a third formulation of the optical control device according to thefirst aspect, the dielectric pillars contained in the line defect of thefirst line-defect waveguide and the dielectric pillars not contained inthe line defect are thicker (larger in cross section) than the that ofthe dielectric pillars contained in a line defect of the secondline-defect waveguide and dielectric pillars not contained in the linedefect. Or, the dielectric pillars contained in the line defect of thesecond line-defect waveguide and the dielectric pillars not contained inthe line defect are thicker than that of the dielectric pillarscontained in a line defect of the first line-defect waveguide anddielectric pillars not contained in the line defect.

In a fourth aspect of the optical control device according to the firstaspect, thicknesses (cross-sectional areas) of the dielectric pillarscontained in the line defect of the first and second line-defectwaveguides differ only with respect to those of the dielectric pillarscontained in the line defect of the first and second line-defectwaveguides, and the thicknesses (cross-sectional areas) of dielectricpillars not contained in the line defect(s) of the first and secondline-defect waveguides are equal.

In a fifth formulation of the optical control device according to thefirst aspect, thicknesses (cross-sectional areas) of the dielectricpillars not contained in the line defect of the first and secondline-defect waveguide differ only with respect to those of thedielectric pillars not contained in the line defect(s) of the first andsecond line-defect waveguides, and the thicknesses (cross-sectionalareas) of the dielectric pillars contained in the line defect(s) of thefirst and second line-defect waveguides are equal.

In a sixth formulation of the optical control device according to thefirst aspect, the thicknesses (cross-sectional areas) of the dielectricpillars contained in the line defects of the first and secondline-defect waveguides gradually change in opposite directions betweenthe dielectric pillars not contained in the line defect of the first andsecond line-defect waveguides and the dielectric pillars contained inthe line defect of the first and second line-defect waveguides.

In a seventh formulation of the optical control device according to thesecond aspect, a further line-defect waveguide, whose dielectric pillarshave cross-sectional shapes gradually varied along the wave guidingdirection, is provided at one end or at each of both ends along the waveguiding direction of the optical control device including the first tothird line-defect waveguides.

In an eighth formulation of the optical control device according to thesecond aspect, the length along the wave guiding direction of the thirdline-defect waveguide is not less than five lattice periods.

In a ninth formulation of the optical control device according to thesecond aspect, the cross-sectional shapes of the dielectric pillarscontained in the line defect of the first and second line-defectwaveguides differ only with respect to those of the dielectric pillarscontained in the line defect of the first and second line-defectwaveguides, and the cross-sectional shapes of dielectric pillars notcontained in the line defect of the first and second line-defectwaveguides are equal.

In a tenth formulation of the optical control device according to thesecond aspect, the cross-sectional shapes of the dielectric pillars notcontained in the line defect of the first and second line-defectwaveguides differ only with respect to those of dielectric pillars notcontained in the line defect of the first and second line-defectwaveguides, and the cross-sectional shapes of the dielectric pillarscontained in the line defects of the first and second line-defectwaveguides are equal.

In an eleventh formulation of the optical control device according tothe second aspect, the cross-sectional shapes of the dielectric pillarscontained in the line defects in the first and second line-defectwaveguides are equal to the cross-sectional shapes of the dielectricpillars not contained in the line defects in the first and secondline-defect waveguides.

In a twelfth formulation of the optical control device according to thesecond aspect, in at least one of the first and second line-defectwaveguides, the cross-sectional shapes of the dielectric pillarscontained in the line defects are different from the cross-sectionalshapes of dielectric pillars not contained in the line defects.

In a thirteenth formulation of the optical control device according tothe third aspect, a further line-defect waveguide, whose lattice-pointintervals are gradually varied along the wave guiding direction, isprovided at one end or at each of both ends along the wave guidingdirection of the optical control device including the first to thirdline-defect waveguides.

In a fourteenth formulation of the optical control device according tothe third aspect, the length along the wave guiding direction of thethird line-defect waveguide is not less than five times a lattice period(pitch).

In a fifteenth formulation of the optical control device according tothe third aspect, the lattice-point intervals of the dielectric pillarscontained in the line defect of the first and second line-defectwaveguides differ only with respect to those of the dielectric pillarscontained in the line defect of the first and second line-defectwaveguides, and the lattice-point intervals of dielectric pillars notcontained in the line defect of the first and second line-defectwaveguides are equal.

In a sixteenth formulation of the optical control device according tothe third aspect, only lattice-point intervals of the dielectric pillarsnot contained in the line defect of said first and second line-defectwaveguides differ, and wherein the lattice point intervals of thedielectric pillars contained in the line defect(s) of said first andsecond line-defect waveguides are equal.

In a seventeenth formulation of the optical control device according tothe third aspect, in the first and second line-defect waveguides, thelattice-point intervals of the dielectric pillars contained in the linedefects are equal to the lattice-point intervals of the dielectricpillars not contained in the line defects.

In an eighteenth formulation of the optical control device according tothe third aspect, in at least one of the first and second linewaveguides, lattice-point intervals of the dielectric pillars containedin the line defect are different from lattice-point intervals of thedielectric pillars not contained in the line defects.

In a nineteenth formulation of the optical control device according toany of the first to third aspects, the dielectric pillars are formed ofa material higher in dielectric constant than a background medium.

In a twentieth formulation of the optical control device according toany of the first to third aspects, the dielectric pillar(s) is(are) ahole(s) provided in a high-refractive-index material.

In a twenty-first formulation of the optical control device according toany one of the first to third aspects, the two-dimensional Bravaislattice is a square lattice.

With the optical control device of the present invention, group velocitydispersion can be compensated while delay is kept long for applicationas an optical delay element. Hence, the delay element of the presentinvention may be applied even for an ultra-high speed signal spanningnon-negligible range of wavelength. It is observed that, since theadverse effect of the waveform distortion due to group velocitydispersion can be suppressed, the optical control device (optical delayelement) can be extended in its length along the wave guiding directionto significantly protract the delay time.

Also, a wavelength range in which group velocity was smaller but,originally, group velocity dispersion had been too large can be madeavailable, so that optical delay can be achieved with a device with awaveguide shorter than those in conventional devices. Hence, the opticaldelay element can be reduced in size.

Additionally, with the optical control device of the present invention,reflection of light may be suppressed by interconnecting two differentmaterial types differing in the group velocity dispersion through aline-defect waveguide provided with a gradually varying structure.

BRIEF DESCRIPTION OF THE DRAWINGS

FIG. 1 is a perspective view showing a pillar-shaped photonic crystalhaving a finite thickness.

FIG. 2 is a cross-sectional view showing an optical control deviceaccording to a first exemplary embodiment.

FIG. 3 is a cross-sectional view showing an optical control deviceaccording to the first exemplary embodiment.

FIG. 4 is a cross-sectional view showing an optical control deviceaccording to the first exemplary embodiment.

FIG. 5 is a cross-sectional view showing an optical control deviceaccording to a second exemplary embodiment.

FIG. 6 is a cross-sectional view showing an optical control deviceaccording to the second exemplary embodiment.

FIG. 7 is a cross-sectional view showing an optical control deviceaccording to the second exemplary embodiment.

FIG. 8 is a cross-sectional view showing an optical control deviceaccording to a third exemplary embodiment.

FIG. 9 is a cross-sectional view showing an optical control deviceaccording to the third exemplary embodiment.

FIG. 10 is a cross-sectional view showing an optical control deviceaccording to the third exemplary embodiment.

FIG. 11 is a schematic view for illustrating a structure of a linedefect in a two-dimensional Bravais lattice.

EXPLANATION OF SYMBOLS

-   1 background medium (or high dielectric constant material)-   2, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54,    57, 60, 63, 66, 69, 72, 75, 79, 82, 85 dielectric pillars (or void    holes) not contained in line defects-   3, 7, 10, 13, 16, 19, 22, 25, 28, 31, 34, 37, 40, 43, 46, 49, 52,    55, 58, 61, 64, 67, 70, 73, 76, 80, 83, 86, 88 dielectric pillars    contained in line defects-   5, 14, 23, 32, 41, 50, 59, 68, 78 first line-defect waveguide paths-   11, 20, 29, 38, 47, 56, 65, 74, 84 second line-defect waveguide    paths-   8, 17, 26, 35, 44, 53, 62, 71, 81 third line-defect waveguide paths-   89 basic translational vector a1 of one (hexagonal lattice) of    two-dimensional Bravais lattice-   90 basic translational vector a2 of one (hexagonal lattice) of    two-dimensional Bravais lattice-   91 basic translational vector of a line defect

PREFERRED MODES Exemplary Embodiment 1

An optical control device according to a first exemplary embodiment ofthe present invention is now described with reference to the drawings.

Referring to FIG. 2, an optical control device according to a preferredfirst exemplary embodiment of the present invention, usable as anoptical delay element, is comprised of a pillar-shaped square-latticephotonic crystal. This photonic crystal includes a multiplicity ofpillars of a dielectric material of a finite height in which there isprovided a line-defect waveguide. The optical control device includes afirst line-defect waveguide 5, a second line-defect waveguide 11 and athird line-defect waveguide 8. The second line-defect waveguide 11, as aline-defect waveguide in a square-lattice photonic crystal, is providedwith a multiplicity of pillars thinner than the dielectric pillars ofthe first line-defect waveguide. The third line-defect waveguide 8 isprovided with dielectric pillars, the thickness (cross-sectional area)of which is gradually varied from the thickness of the pillars of thefirst line-defect waveguide to that of the pillars of the secondline-defect waveguide along the wave guiding direction of thewaveguides. The optical control device also includes a set of waveguidescomposed of the first line-defect waveguide 5, second line-defectwaveguide 11 and the third line-defect waveguide 8, in which thethicknesses of the dielectric pillars are varied continuously(consecutively) in this sequence.

Preferably, the group velocity dispersion of the first line-defectwaveguide 5 is, opposite to that of the second line-defect waveguide 11.For example, the first line-defect waveguide 5 exhibits ordinarydispersion such that light with a shorter wavelength is guided at aspeed lower than that of light with a longer wavelength. Conversely, thesecond line-defect waveguide 11 exhibits extraordinary dispersion suchthat light with a shorter wavelength is guided at a higher speed thanthat of light with a longer wavelength. Thus, on interconnecting thefirst line-defect waveguide 5 and the second line-defect waveguide 11,the two group velocity dispersions cancel each other on the whole.

However, the manner of spreading (distribution) of the electromagneticfield of light guided through the first line-defect waveguide 5 differsfrom that of light guided through the second line-defect waveguide 11.Thus, if the two waveguides are simply joined to each other, reflectionor radiation of the guided light occurs at the joint.

The third line-defect waveguide 8 overcomes this problem. The thirdline-defect waveguide 8 undergoes gentle (or step-like) structuraltransitions between the first line-defect waveguide 5 and the secondline-defect waveguide 11. Hence, the distribution of electromagneticfields of the guided light also undergoes gentle (i.e., gradual) changesbetween the first line-defect waveguide 5 and the second line-defectwaveguide 11, such that there scarcely occurs reflection or radiation ofthe guided light in the transition area.

If the optical control device is used as an optical delay element, thewaveguides, connected at input and output ends of the optical controldevice, are connected to waveguides different from the waveguides thatcompose the optical control device in order to provide for high speedpropagation of the light signal. It is preferred in such case to providea line-defect waveguide, the pillar thicknesses of which are graduallyvaried, on one side or each side of the optical control device, in orderto provide for continuous optical coupling of the optical control deviceto the high speed waveguides.

The third line-defect waveguide 8 has a function of achieving continuousoptical coupling between the first line-defect waveguide 5 and thesecond line-defect waveguide 11. In order for this function to be infull play to suppress reflection or radiation in the third line-defectwaveguide 8 to a negligible value, the third line-defect waveguide 8 ispreferably not less than 5 periods (pitch) of the lattice in the waveguide direction.

Referring to FIG. 2, comparison of the thicknesses of the dielectricpillars of the first line-defect waveguide 5 to those of the dielectricpillars of the second line-defect waveguide 11 indicates that dielectricpillars 7 contained in the line-defect of the first line-defectwaveguide 5 are thicker than dielectric pillars 13 contained in the linedefect of the second line-defect waveguide, and that dielectric pillars6 not contained in the line defect of the first line-defect waveguideare thicker than dielectric pillars 12 not contained in the line defectof the second line-defect waveguide. In such structure, the thicknessratio of the dielectric pillars 7 of the first line-defect waveguide 5and the dielectric pillars 13 of the second line-defect waveguide 11 canbe set so as to be equal or approximately equal to the thickness ratioof the dielectric pillars 6 not contained in the line defect of thefirst line-defect waveguide 5 and the dielectric pillars 12 notcontained in the line defect of the second line-defect waveguide 11.This thickness ratio is correlated with the intensity of confinement ofguided light to the vicinity of the line defect. Thus, with the opticalcontrol device, shown in FIG. 2, the spread of the guided light in thevicinity of the line defect may be kept to be substantially equalthroughout the entire device. The structure of the optical controldevice, shown in FIG. 2, is therefore effective when it is desired tomaintain the width of the line-defect waveguide to a certain value fixedaccording to manufacturing constraints.

As shown in FIG. 3, the thicknesses of the dielectric pillars of a firstline-defect waveguide 14 may be equal to those of the dielectric pillarsof a second line-defect waveguide 20 except the thicknesses of thedielectric pillars 16 and 22 of the respective line defects which aredifferent. If only the thicknesses of the dielectric pillars 16, 22 ofthe respective line defects are varied, the advantages of protractingthe delay time and canceling out the group velocity dispersion, both ofwhich are the features as the optical delay elements, are approximatelythe same as in the case of changing not only the thicknesses of thedielectric pillars 16, 22 contained in the line defects from each otherbut also changing those of the dielectric pillars 15, 21 not containedin the line defects from each other. It is observed, however, thatchanging only the thicknesses of the dielectric pillars contained in theline defects give rise to a merit that implementation of the thirdline-defect waveguide 17 may be facilitated since it is then onlynecessary to change the thicknesses of the dielectric pillars 19 in theline-defect row.

As shown in FIG. 4, on the other hand, only the thicknesses of thedielectric pillars 24 not contained in the line defect of a firstline-defect waveguide 23 may differ from those of the dielectric pillars30 not contained in the line defect of a second line-defect waveguide29. The optical control device of this construction has a merit that,since the thicknesses of the dielectric pillars 25, 28 or 31, containedin the line defects where the energy of the guided light isconcentrated, are unchanged, a third line-defect waveguide 26 isrelatively free from losses otherwise caused by reflection or radiation.

The above-described three structures pertinent to the thicknesses of thedielectric pillars, shown in FIGS. 2 to 4, may, of course, be presenttogether in a mixed configuration in one structure.

Also, the dielectric pillars contained in the line defect of the firstline-defect waveguide may be thicker in thickness than those containedin the line defect of the second line-defect waveguide, while thedielectric pillars not contained in the line defect of the firstline-defect waveguide may be thinner in thickness than those in the linedefect of the second line-defect waveguide.

Exemplary Embodiment 2

In a second exemplary embodiment of the present invention, a lightcontrol element has a line-defect waveguide in a pillar-shapedsquare-lattice photonic crystal provided with a multiplicity ofdielectric pillars that have a finite height, as shown in FIG. 5. Theoptical control device includes a first line-defect waveguide 32, asecond line-defect waveguide 38 and a third line-defect waveguide 35.The second line-defect waveguide 38 is a line-defect waveguide in asquare-lattice photonic crystal, which includes dielectric pillars 39,40 differing in cross-sectional shape from dielectric pillars 33, 34 ofthe first line-defect waveguide 32. The third line-defect waveguide 35includes dielectric pillars 36, 37. The cross-sectional shapes of thedielectric pillars 36 is(are) gradually varied from the cross-sectionalshapes of the dielectric pillars 33 of the first line-defect waveguide32 to those of the dielectric pillars 39 of the second line-defectwaveguide 38 along the wave guiding direction of the waveguide.Similarly, the cross-sectional shapes of the dielectric pillars 37 aregradually varied from the cross-sectional shapes of the dielectricpillars 34 of the first line-defect waveguide 32 to those of thedielectric pillars 40 of the second line-defect waveguide 35 along thewave guiding direction of the waveguide. The optical control deviceincludes a set of waveguides in which the first line-defect waveguide32, the third line-defect waveguide 35 and second line-defect waveguide38 are joined together in this order, the cross-sectional shapes of thedielectric pillars being changed continuously (consecutively).

The second exemplary embodiment corresponds to what is constructed bysubstituting changes in the cross-sectional shapes for changes inthicknesses of the dielectric pillars of the first exemplary embodiment.The first exemplary embodiment is suited for suppressing the groupvelocity dispersion of the optical control device, operating as anoptical delay element, to substantially zero. However, the firstexemplary embodiment leaves something to be desired in that groupvelocity dispersion may not be suppressed over a broad frequency rangein its entirety. On the other hand, although the second exemplaryembodiment is slightly inferior to the first exemplary embodiment inreducing the group velocity dispersion to approximately zero; however,with the second exemplary embodiment, the wavelength dependency of thegroup velocity dispersion of the entire optical control device can befinely (precisely) controlled over a wide frequency range by varying thecross-sectional shapes of the dielectric pillars. Hence, the structureof the optical control device of the second exemplary embodiment iseffective in the case where it is desired to endow the light transmittedthrough the optical control device with specified group velocitydispersion.

For coupling to waveguides with different characteristics, the presentoptical control device may be provided on its one side or on each sidewith a line-defect waveguide having the dielectric pillars whosecross-sectional shapes are varied gradually (stepwise).

To sufficiently suppress internal reflection or radiation, the thirdline-defect waveguide is preferably not shorter than five times a period(pitch) along the wave guiding direction.

As shown in FIG. 6, only the cross-sectional shapes of dielectricpillars 43 contained in a line defect of a first line-defect waveguide41 may be different from those of dielectric pillars 49 contained in aline defect of a second line-defect waveguide 47. This structure has anadvantage that implementation may be facilitated.

As shown in FIG. 7, only the cross-sectional shapes of dielectricpillars 51 not contained in its line defect of a first line-defectwaveguide 50 may be different from those of dielectric pillars 57 notcontained in its line defect of a second line-defect waveguide 56. Thisstructure has an advantage that reflection or radiation in a thirdline-defect waveguide 53 may be suppressed more effectively than withthe structure shown in FIG. 5 or 6.

The basic structure of the first and second line-defect waveguides is astructure shown in FIG. 5, in which, in each of the first and secondline-defect waveguides, the cross-sectional shapes of the dielectricpillars contained in the line defect(s) are the same as those of thedielectric pillars not contained in the line defects.

However, if, with this basic structure (FIG. 5), the group velocitydispersion cannot be controlled with sufficient accuracy, thecross-sectional shapes of the dielectric pillars contained in the linedefect may be different from those of the dielectric pillars notcontained in the line defect in at least one of the first and secondline-defect waveguides (FIGS. 6 and 7).

Exemplary Embodiment 3

A third exemplary embodiment of the present invention is directed to anoptical control device, in particular an optical delay element which iscomprised of a pillar-type square-lattice photonic crystal that hasdielectric pillars with a finite height, and also has a line defect, asshown in FIG. 8. The optical control device includes a first line-defectwaveguide 59, a second line-defect waveguide 65 and a third-line-defectwaveguide 62. The second line-defect waveguide 65 is made up ofdielectric pillars 66 and 67. The dielectric pillars 66 havelattice-point intervals, that is, local lattice constants, differentfrom those of dielectric pillars 60 of the first line-defect waveguide59, and the dielectric pillars 67 have lattice point intervals, that is,local lattice constants, different from those of dielectric pillars 61of the first line-defect waveguide 59. The third line-defect waveguide62 is interposed between the first line-defect waveguide 59 and thesecond line-defect waveguide 65, and is made up of dielectric pillars 63and 64. The lattice point intervals of the dielectric pillars 63 arevaried gradually from those of the first line-defect waveguide 59 tothose of the second line-defect waveguide 65 in the course from thefirst line-defect waveguide 59 towards the second line-defect waveguide65. In a similar manner, the lattice point intervals of dielectricpillars 64 are varied gradually from those of the first line-defectwaveguide 59 to those of the second line-defect waveguide 65 in thecourse from the first line-defect waveguide 59 towards the secondline-defect waveguide 65.

It should be noted that the ‘lattice point interval’ means a distance(interstice) between the centers of cross sections of a dielectricpillar of interest and a dielectric pillar adjacent thereto, while the‘local lattice constant’ means a summation average of the all intervalsbetween the centers of cross sections of a dielectric pillar of interestand the dielectric pillars adjacent thereto.

The present third exemplary embodiment corresponds to what isconstructed by substituting variations in the lattice point intervals(local lattice constants) of dielectric pillars for variations inthicknesses (cross-sectional areas) of the dielectric pillars in thefirst exemplary embodiment. If the present third exemplary embodiment isused as an optical delay element, it is possible to realizesubstantially the same characteristic as that of the first exemplaryembodiment with respect to controlling of the group velocity dispersion.The third exemplary embodiment may be said to differ from the firstexemplary embodiment in that, since control of the positions of latticepoints taken up by the dielectric pillars is easier than that of thethicknesses of the dielectric pillars, it is easier with the thirdexemplary embodiment to fabricate an optical control device conformingto design parameters.

With the present exemplary embodiment, a line-defect waveguide, thelattice point intervals of dielectric pillars of which are variedgradually along the wave guiding direction, may be provided on one oreach side of the optical control device comprised of the first to thirdline-defect waveguides. It is thereby possible to provide for opticalcoupling of the optical control device to waveguides of differentcharacteristics without producing reflections or radiations of theguided light.

With the present optical control device, the third line-defect waveguide62 is preferably not shorter than five times a period along the waveguiding direction. It is thereby possible to suppress reflections orradiations in the third line-defect waveguide 8 to a substantiallynegligible value.

As shown in FIG. 9, the present optical control device may beimplemented by a structure in which only the lattice point intervals ofthe dielectric pillars 70 contained in a line defect of a firstline-defect waveguide differ from those of the dielectric pillars 76contained in a line defect of a second line-defect waveguide. Thedielectric pillars 69 and 75, not contained in the line defects, has thesame stricture. FIG. 9 shows a concrete example structure for this case.That is, with this example stricture, the intervals of the dielectricpillars 70, 76, contained in the line defects, are constant, while thoseof the dielectric pillars 69, 75, not contained in the line defects,have the same value and constant. The lattices (points) of thedielectric pillars 69, not contained in the line defect of the firstline-defect waveguide 68, are disposed close to both sides of thedielectric pillars 70 contained in the line defect of the firstline-defect waveguide. The lattices (points) of the dielectric pillars75, not contained in the line defect of the second line-defect waveguide74, are disposed apart from both sides of the dielectric pillars 76contained in the line defect of the second line-defect waveguide 74. Ina third line-defect waveguide guide 71, the lattice points of thedielectric pillars 72, not contained in its line defect, are disposedgradually removed (more apart) from both sides of the dielectric pillars73 contained in the line defect in a width-wise direction, that is, in adirection normal to the wave guiding direction and parallel to the planeof the two-dimensional lattice in the course of progressing from thefirst line-defect waveguide 68 towards the second line-defect waveguide74. This means that only the lattice point intervals taken in thewidth-wise direction of line defect rows 70, 73, 76 are graduallywidened along the wave guiding directions.

Conversely, a structure may be assumed in which only the lattice pointintervals of dielectric pillars 79, not contained in the line defect ofthe first line-defect waveguide, are different from those of dielectricpillars 85 not contained in the line defect of the second line-defectwaveguide, while those of dielectric pillars 80, 86, contained in theline defects of the first and second line-defect waveguides, are equalto one another. A concrete example structure for this case is shown inFIG. 10. That is, the optical control device has such a structure inwhich the lattice point intervals between the dielectric pillars 80, 86of the line defects and dielectric pillars disposed closest to the linedefects are constant, and in which the other lattice point intervalsbetween the dielectric pillars are gradually increased in the width-wisedirection, in the course of progressing from the first line-defectwaveguide 78 towards the second line-defect waveguide 84, that is, inthe direction perpendicular to the wave guiding direction and parallelto the two-dimensional lattice plane. It is only the lattice pointintervals in the width-wise direction of the dielectric pillars 79, 85not contained in the line defect rows that are widened in this case.

A further different structure of an optical control device may beprovided as such a one in which the lattice-point intervals between thedielectric pillars contained in the line defect are equal to thosebetween the dielectric pillars not contained in the line defect for eachof the first and second line-defect waveguides.

A further different structure of an optical control device may beprovided as one in which, in at least one of the first line-defectwaveguide and the second line-defect waveguide, the lattice pointintervals between dielectric pillars contained in the line defect differfrom those between the dielectric pillars not contained in the linedefect.

In the above description of the first to third exemplary embodiments,the dielectric pillars are formed of a material higher in dielectricconstant than the background medium. Alternatively, the dielectricpillars may be formed of a material lower in dielectric constant thanthe background medium. In an exemplary case, the dielectric pillarsis(are) a hole(s) (void) provided in a high dielectric constantmaterial.

The line-defect waveguide of the pillar-shaped square lattice photoniccrystal in each of the first to third exemplary embodiments may beformed so as to have low group velocity and different effects of groupvelocity dispersion. This is made possible by properly adjusting thethicknesses and/or shapes of the dielectric pillars provided in thelattice or the lattice point intervals. In particular, if it has beenpossible to form two or more waveguides so that these waveguides willhave reverse group velocity dispersion effects, and if these waveguidesmay be interconnected via a gently changing structure, it is possible toreduce overall group velocity dispersion without causing reflectionbetween the interconnected waveguides as well as to obtain prolongedoptical delay time.

In the above description of the first to third exemplary embodiments,the crystal system of the two-dimensional lattice of the photoniccrystal is assumed to be a square lattice. This is of course notrestrictive such that any of two-dimensional Bravais lattice structuresmay be used in place of the square lattice.

As for the line defect, the direction of the basic translational vectorin the Bravais lattice structure is not restrictive such that the linedefect may be a row of defects arrayed along any arbitrary one oftranslational vectors.

FIG. 11 depicts a schematic view for illustrating the structure of aline defect in a two-dimensional Bravais lattice. In FIG. 11, there areshown lattice points of a hexagonal lattice and basic translationalvectors a1 and a2 (89 and 90 of FIG. 11). In this case, it is sufficientthat dielectric pillars 88, contained in a line defect, are arrayed in arow along any of the translational vectors. FIG. 11 shows a case wherethe basic translational vector of dielectric pillars, contained in theline defect, is given by 2a1+a2.

In the above description, the line defect is assumed to be arrayed in asingle row for convenience of simplified explanation. It may, however,include multiple rows.

EXAMPLE 1

Example 1 of the present invention is now described with reference tothe drawings.

FIG. 2 depicts a cross-sectional view of a high refractive indexmaterial of an optical control device (element), which has a line-defectwaveguide provided in a columnar-type square-lattice photonic crystal.The cross-sectional view shows the material from a directionperpendicular to the lattice plane.

Referring to FIG. 2, the optical control device of Example 1 of thepresent invention (optical delay element) is an optical delay elementcomprised of a pillar-type square-lattice photonic crystal that has amultiplicity of dielectric (circular) columns with a finite height. Thephotonic crystal includes a line-defect waveguide. The optical controldevice 1 includes a first line-defect waveguide 5, a second line-defectwaveguide 11 and a third line-defect waveguide 8. The second line-defectwaveguide, a line-defect waveguide provided in the square-latticephotonic crystal, is provided with dielectric columns thinner than thedielectric columns of the first line-defect waveguide 5. The thirdline-defect waveguide 8 is a line-defect waveguide in which thethickness of the dielectric columns is varied gradually from that of thedielectric columns in the first line-defect waveguide to those of thedielectric pillars in the second line-defect waveguide along the waveguiding direction of the waveguide. The optical control device alsoincludes a set of the first line-defect waveguide 5, third line-defectwaveguide 8 and the second line-defect waveguide 11, connected togetherin this order so that the thicknesses of the dielectric pillars willvary continuously (consecutively) in this order.

Both the first line-defect waveguide 5 and the second line-defectwaveguide 11 may be implemented to provide for a low group velocity andgroup velocity dispersions of opposite polarities with respect to thesame wavelength. With the pillar-type square-lattice photonic crystal,shown in FIG. 2, the dielectric pillars of the second line-defectwaveguide 11 are thinner than those of the first line-defect waveguide5. In such case, the wavelength range of the wave guiding mode of thesecond line-defect waveguide 11 is shifted to the side of a shorterwavelength than that of the wave guide mode of the first line-defectwaveguide 5. Further, in a line-defect waveguide in which dielectriccolumns contained in the line defect are thinner than the surroundingdielectric columns, the group velocity dispersion exhibits ordinarydispersion (with a negative value) on the short wavelength side of thewave guiding mode, while exhibiting extraordinary dispersion (with apositive value) on its long wavelength side. Thus, in a wavelength rangein which the wavelength range of the guided mode of the firstline-defect waveguide 5 overlaps with that of the second line-defectwaveguide 11, it is possible for the first line-defect waveguide and thesecond line-defect waveguide to exhibit ordinary dispersion andextraordinary dispersion, respectively. Since positive and negativevalues of the group velocity dispersion of the first line-defectwaveguide 5 and the second line-defect waveguide 11 cancel each other,it is possible with the optical delay element of FIG. 2 to eliminate(cancel out) the group velocity dispersion.

The values of the group velocity dispersion are proportional to thelength along the waveguide direction of the waveguide. Thus, by properselection of the lengths of the first line-defect waveguide 5 and thesecond line-defect waveguide 11, it is also possible to manufacture anoptical delay element giving a group velocity dispersion either of apositive or negative value as an optical delay element of FIG. 2 on thewhole.

The light guided in the first line-defect waveguide 5 and that guided inthe second line-defect waveguide 11 are guided under confinement in thevicinity of the line defects. It is observed that the manner of spread(distribution) of the electromagnetic field of light as well as theintensity ratios of the electrical field and the magnetic field of lightin the two waveguides differ from each other. Hence, the thirdline-defect waveguide 8 is interposed between the first line-defectwaveguide 5 and the second line-defect waveguide 11 tostructurally-gently (adiabatically) couple together or interconnect thetwo waveguides. This should reduce reflection and/or loss of the guidedlight that might otherwise be produced between the first line-defectwaveguide 5 and the second line-defect waveguide 11.

Preferably, the length of third line-defect waveguide 8 in the waveguiding direction is not less than five times a lattice period (pitch).This should sufficiently decrease the reflection and loss otherwisecaused by the third line-defect waveguide 8.

The method for manufacturing the optical control device of Example 1 isnow described.

For manufacture, a silicon-on-insulator (Si on Insulator wafer, SOI)substrate may be used. The SOI substrate can be fabricated by forming athin film of silicon dioxide, termed a buried oxide film, on a siliconsubstrate, and by forming thereon a thin silicon film termed a siliconactive layer.

A photoresist is coated on the silicon active layer that forms anuppermost layer. A pattern of an optical control device of a photoniccrystal of FIG. 2 is formed thereon by a photolithographic technique.The silicon active layer is etched vertically into pillars, using afluorine-based silicon dry etching apparatus. After removing thephotoresist, silicon pillars are buried by silicon dioxide or an opticalresin that has the same refractive index as that of silicon dioxide.This completes the optical control device shown in FIG. 2.

EXAMPLE 2

An Example 2 is now described.

In Example 1 (FIG. 2), the cross-sectional shape of a dielectric pillaris circular, as an example. However, to achieve at the effect of thepresent invention, the cross-sectional shape need not necessarily becircular. In addition, the pillar shapes may be varied in a directionfrom the first line-defect waveguide to the second line-defectwaveguide, instead of varying the pillar thicknesses, whereby it ispossible to reverse the effect of the group velocity dispersion with alow group velocity being kept.

That is, referring to FIG. 5, the optical control device of the presentExample is an optical control device (optical delay element) comprisedof a pillar-type square-lattice photonic crystal including a line-defectwaveguide. The photonic crystal includes a first line-defect waveguide32, a second line-defect waveguide 38 and a third line-defect waveguide35. The cross-sectional shape of the dielectric pillars of the firstline-defect waveguide is circular, while that of the dielectric pillarsof the second line-defect waveguide is square. The cross-sectionalshapes of the dielectric pillars of the third line-defect waveguide aregradually varied from the circle to the square in a direction of thewave guiding path. Preferably, the optical control device is formed byinterconnecting the first line-defect waveguide 32, third line-defectwaveguide 35 and the second line-defect waveguide 38 so that thecross-sectional shapes of the pillars are varied continuously(consecutively) in this order.

From the perspective of ease in manufacture, the cross-sectional shapeis preferably varied between a square and a circle, as an example.

The length of the third line-defect waveguide 35 along the wave guidingdirection is preferably not less than five times a lattice period(pitch). It is then possible to reduce reflections and/or loss on aninterface between the first and third line-defect waveguides (32, 35),oil an interface between the second and third line-defect waveguides(35, 38) or in the third line-defect waveguide 35.

The method for manufacturing of Example 2 is basically the same as thatof Example 1.

An electron beam photoresist is coated on a SOI substrate, which has a1-μm-thick silicon active layer, by using a spin coater, and a patternof FIG. 5 is written by using an electron-beam exposure device (directwriter). The lattice period is 0.4 μm, for example. The diameter of acolumn not contained in a line defect in the first line-defect waveguide32 is 0.24 μm, while that of pillars contained in the line defect is0.16 μm, for example. A square pillar, not contained in a line defect inthe second line-defect waveguide 38, has a 0.24-μm-long side, whilesquare pillars, contained in the line defect, have a 0.1 -μm-long side.A silicon active layer is vertically etched by using a dry etchingapparatus with a gas mixture of sulfur hexafluoride and quadro carbonoctafluoride. After removing the photoresist with organic solvent,silicon dioxide is deposited using a thermal CVD apparatus. Based on theabove-described manufacturing method, the optical control device, shownin FIG. 5, may be fabricated.

INDUSTRIAL APPLICABILITY

A small-sized optical delay element (optical control device or element),suited for high speed signal processing, according to the presentinvention, may be integrated as one element in an optical integratedcircuit. Hence, the present invention contributes to improving theintegration degree and to realization of a broader range of applicationof the optical integrated circuit.

The particular exemplary embodiments or examples may be modified oradjusted within the gamut of the entire disclosure of the presentinvention, inclusive of claims, based on the fundamental technicalconcept of the invention. Further, variegated combinations or selectionsof the elements disclosed herein may be made within the framework of theclaims.

1. An optical control device including a plurality of line-defectwaveguides provided in a photonic crystal, each line-defect waveguideincluding a multiplicity of dielectric pillars with a finite heightarranged at lattice points of a two-dimensional Bravais lattice, saidoptical control device comprising: a first line-defect waveguide; asecond line-defect waveguide provided with the dielectric pillars havinga thickness different from that of the dielectric pillars of said firstline-defect waveguide; and a third line-defect waveguide arrangedbetween said first and second line-defect waveguides and provided withthe dielectric pillars whose thicknesses are gradually varied from thoseof the dielectric pillars of said first line-defect waveguide to thoseof the dielectric pillars of said second line-defect waveguide along awave guiding direction, wherein thicknesses of the dielectric pillarscontained in the line defect of said first and second line-defectwaveguides differ only with respect to those of the dielectric pillarscontained in the line defect(s) of said first and second line-defectwaveguides, and the thicknesses of dielectric pillars not contained inthe line defect(s) of said first and second line-defect waveguides areequal.
 2. An optical control device including a plurality of line-defectwaveguides provided in a photonic crystal, each line-defect waveguideincluding a multiplicity of dielectric pillars with a finite heightarranged at lattice points of a two-dimensional Bravais lattice, saidoptical control device comprising: a first line-defect waveguide; asecond line-defect waveguide provided with the dielectric pillars havinga thickness different from that of the dielectric pillars of said firstline-defect waveguide; and a third line-defect waveguide arrangedbetween said first and second line-defect waveguides and provided withthe dielectric pillars whose thicknesses are gradually varied from thoseof the dielectric pillars of said first line-defect waveguide to thoseof the dielectric pillars of said second line-defect waveguide along awave guiding direction, wherein thicknesses of the dielectric pillarsnot contained in a line defect of said first and second line-defectwaveguides differ only with respect to those of the dielectric pillarsnot contained in line defect(s) of said first and second line-defectwaveguides, and wherein the thicknesses of the dielectric pillarscontained in the line defect(s) of said first and second line-defectwaveguides are equal.
 3. An optical control device including a pluralityof line-defect waveguides provided in a photonic crystal, eachline-defect waveguide including a multiplicity of dielectric pillarswith a finite height arranged at lattice points of a two-dimensionalBravais lattice, said optical control device comprising: a firstline-defect waveguide; a second line-defect waveguide provided with thedielectric pillars having a thickness different from that of thedielectric pillars of said first line-defect waveguide; and a thirdline-defect waveguide arranged between said first and second line-defectwaveguides and provided with the dielectric pillars whose thicknessesare gradually varied from those of the dielectric pillars of said firstline-defect waveguide to those of the dielectric pillars of said secondline-defect waveguide along a wave guiding direction, wherein thethicknesses of the dielectric pillars contained in the line defects ofsaid first and second line-defect waveguides change in thickness inopposite directions between the dielectric pillars not contained in theline defect of the first and second line-defect waveguides and thedielectric pillars contained in the line defect of the first and secondline-defect waveguides.